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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Quadratic Expressions and Equations
|
Factorisation of quadratic expressions
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Write the perfect squares Apply factorization methods to solve problems |
Q/A on revision of linear expressions
Discussions on quadratic expression patterns Solving problems using factorization Demonstrations on factorization techniques Explaining step-by-step methods |
Calculators, charts showing factorization patterns
|
KLB Mathematics Book Three Pg 1
|
|
| 2 | 2 |
Quadratic Expressions and Equations
|
Factorisation of quadratic expressions
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions using different methods Identify common factors in expressions Apply grouping method to factorize |
Q/A on previous lesson concepts
Discussions on advanced factorization Solving complex factorization problems Demonstrations of grouping methods Explaining various factorization techniques |
Calculators, factorization method charts
|
KLB Mathematics Book Three Pg 1-2
|
|
| 2 | 3 |
Quadratic Expressions and Equations
|
Completing squares
|
By the end of the
lesson, the learner
should be able to:
Complete the square for quadratic expressions Write expressions in perfect square form Identify missing terms in completing squares |
Q/A on perfect square patterns
Discussions on completing square concept Solving problems by completing squares Demonstrations of completing square method Explaining systematic approach |
Calculators, perfect square charts
|
KLB Mathematics Book Three Pg 1-2
|
|
| 2 | 4 |
Quadratic Expressions and Equations
|
Completing squares
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method Apply completing square to complex expressions Transform expressions to vertex form |
Q/A on completing square basics
Discussions on advanced applications Solving complex expressions Demonstrations of vertex form transformation Explaining complete methodology |
Calculators, vertex form examples
|
KLB Mathematics Book Three Pg 3-4
|
|
| 2 | 5 |
Quadratic Expressions and Equations
|
Solving quadratic expressions by completing square
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions by completing square Apply completing square method to equations Verify solutions by substitution |
Q/A on equation solving methods
Discussions on systematic solving approach Solving equations step-by-step Demonstrations of verification methods Explaining solution processes |
Calculators, equation solving guides
|
KLB Mathematics Book Three Pg 5-6
|
|
| 2 | 6 |
Quadratic Expressions and Equations
|
Solving quadratic expressions by factorization
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions by factorization Apply zero product property Choose appropriate factorization method |
Q/A on factorization techniques
Discussions on solving strategies Solving equations using factorization Demonstrations of zero product rule Explaining method selection |
Calculators, method selection charts
|
KLB Mathematics Book Three Pg 7
|
|
| 2 | 7 |
Quadratic Expressions and Equations
|
The quadratic formula
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula Apply quadratic formula to any quadratic equation Derive the quadratic formula |
Q/A on formula derivation steps
Discussions on formula applications Solving equations using formula Demonstrations of derivation process Explaining formula structure |
Calculators, formula derivation charts
|
KLB Mathematics Book Three Pg 7-9
|
|
| 3 | 1 |
Quadratic Expressions and Equations
|
The quadratic formula
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula Apply formula to complex coefficients Interpret discriminant values |
Q/A on formula mastery
Discussions on discriminant meaning Solving complex equations Demonstrations of discriminant analysis Explaining nature of roots |
Calculators, discriminant interpretation guides
|
KLB Mathematics Book Three Pg 7-9
|
|
| 3 | 2 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
|
By the end of the
lesson, the learner
should be able to:
Form a quadratic equation from word problem Create equations from given roots Apply sum and product of roots |
Q/A on roots and coefficients relationship
Discussions on equation formation Solving word problems leading to equations Demonstrations of equation creation Explaining formation processes |
Calculators, word problem templates
|
KLB Mathematics Book Three Pg 9-10
|
|
| 3 | 3 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
|
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Plot coordinates accurately Construct systematic value tables |
Q/A on coordinate geometry basics
Discussions on table construction Solving plotting problems Demonstrations of systematic plotting Explaining table creation methods |
Graph papers, calculators, plotting guides
|
KLB Mathematics Book Three Pg 12-15
|
|
| 3 | 4 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Identify vertex and axis of symmetry Find intercepts from graphs |
Q/A on graph plotting techniques
Discussions on graph features Solving graphing problems Demonstrations of feature identification Explaining graph properties |
Graph papers, calculators, rulers
|
KLB Mathematics Book Three Pg 12-15
|
|
| 3 |
Opener exam |
|||||||
| 3 | 7 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs Find roots as x-intercepts |
Q/A on graph-equation relationships
Discussions on graphical solutions Solving equations graphically Demonstrations of root finding Explaining intersection concepts |
Graph papers, calculators, rulers
|
KLB Mathematics Book Three Pg 15-17
|
|
| 4 | 1 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic equations using the graphs Verify algebraic solutions graphically Estimate solutions from graphs |
Q/A on solution verification
Discussions on estimation techniques Solving complex graphical problems Demonstrations of verification methods Explaining accuracy in estimation |
Graph papers, calculators, estimation guides
|
KLB Mathematics Book Three Pg 17-19
|
|
| 4 | 2 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic equations using the graphs Verify algebraic solutions graphically Estimate solutions from graphs |
Q/A on solution verification
Discussions on estimation techniques Solving complex graphical problems Demonstrations of verification methods Explaining accuracy in estimation |
Graph papers, calculators, estimation guides
|
KLB Mathematics Book Three Pg 17-19
|
|
| 4 | 3 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic equations using the graphs Verify algebraic solutions graphically Estimate solutions from graphs |
Q/A on solution verification
Discussions on estimation techniques Solving complex graphical problems Demonstrations of verification methods Explaining accuracy in estimation |
Graph papers, calculators, estimation guides
|
KLB Mathematics Book Three Pg 17-19
|
|
| 4 | 4 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic equations using the graphs Verify algebraic solutions graphically Estimate solutions from graphs |
Q/A on solution verification
Discussions on estimation techniques Solving complex graphical problems Demonstrations of verification methods Explaining accuracy in estimation |
Graph papers, calculators, estimation guides
|
KLB Mathematics Book Three Pg 17-19
|
|
| 4 | 5 |
Quadratic Expressions and Equations
|
Graphical solutions of simultaneous equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations Solve systems involving quadratic and linear equations |
Q/A on simultaneous equation concepts
Discussions on intersection analysis Solving systems of equations Demonstrations of intersection finding Explaining solution interpretation |
Graph papers, calculators, intersection analysis guides
|
KLB Mathematics Book Three Pg 19-21
|
|
| 4 | 6 |
Quadratic Expressions and Equations
|
Graphical solutions of simultaneous equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations Solve systems involving quadratic and linear equations |
Q/A on simultaneous equation concepts
Discussions on intersection analysis Solving systems of equations Demonstrations of intersection finding Explaining solution interpretation |
Graph papers, calculators, intersection analysis guides
|
KLB Mathematics Book Three Pg 19-21
|
|
| 4 | 7 |
Approximations and Errors
|
Computing using calculators
|
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Use calculator functions effectively Apply calculator to mathematical computations |
Q/A on calculator familiarity
Discussions on calculator operations Solving basic arithmetic problems Demonstrations of calculator functions Explaining proper calculator usage |
Calculators, operation guides
|
KLB Mathematics Book Three Pg 24-26
|
|
| 5 | 1 |
Approximations and Errors
|
Computing using calculators
|
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Perform complex calculations accurately Verify calculator results |
Q/A on calculator accuracy
Discussions on verification methods Solving complex computational problems Demonstrations of result checking Explaining calculation verification |
Calculators, verification worksheets
|
KLB Mathematics Book Three Pg 26-28
|
|
| 5 | 2 |
Approximations and Errors
|
Computing using calculators
|
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Perform complex calculations accurately Verify calculator results |
Q/A on calculator accuracy
Discussions on verification methods Solving complex computational problems Demonstrations of result checking Explaining calculation verification |
Calculators, verification worksheets
|
KLB Mathematics Book Three Pg 26-28
|
|
| 5 | 3 |
Approximations and Errors
|
Computing using calculators
|
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Perform complex calculations accurately Verify calculator results |
Q/A on calculator accuracy
Discussions on verification methods Solving complex computational problems Demonstrations of result checking Explaining calculation verification |
Calculators, verification worksheets
|
KLB Mathematics Book Three Pg 26-28
|
|
| 5 | 4 |
Approximations and Errors
|
Approximation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Round numbers to specified decimal places Apply rounding rules correctly |
Q/A on rounding concepts
Discussions on rounding techniques Solving rounding problems Demonstrations of rounding methods Explaining rounding rules and applications |
Calculators, rounding charts
|
KLB Mathematics Book Three Pg 29-30
|
|
| 5 | 5 |
Approximations and Errors
|
Approximation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Round numbers to specified decimal places Apply rounding rules correctly |
Q/A on rounding concepts
Discussions on rounding techniques Solving rounding problems Demonstrations of rounding methods Explaining rounding rules and applications |
Calculators, rounding charts
|
KLB Mathematics Book Three Pg 29-30
|
|
| 5 | 6 |
Approximations and Errors
|
Estimation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by truncation Estimate values using appropriate methods Compare estimation techniques |
Q/A on estimation strategies
Discussions on truncation vs rounding Solving estimation problems Demonstrations of truncation methods Explaining when to use different techniques |
Calculators, estimation guides
|
KLB Mathematics Book Three Pg 30
|
|
| 5 | 7 |
Approximations and Errors
|
Estimation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by truncation Estimate values using appropriate methods Compare estimation techniques |
Q/A on estimation strategies
Discussions on truncation vs rounding Solving estimation problems Demonstrations of truncation methods Explaining when to use different techniques |
Calculators, estimation guides
|
KLB Mathematics Book Three Pg 30
|
|
| 6 | 1 |
Approximations and Errors
|
Accuracy and errors
|
By the end of the
lesson, the learner
should be able to:
Find the absolute error Calculate relative error Distinguish between different error types |
Q/A on error concepts
Discussions on error calculations Solving absolute and relative error problems Demonstrations of error computation Explaining error significance |
Calculators, error calculation sheets
|
KLB Mathematics Book Three Pg 31-32
|
|
| 6 | 2 |
Approximations and Errors
|
Accuracy and errors
|
By the end of the
lesson, the learner
should be able to:
Find the absolute error Calculate relative error Distinguish between different error types |
Q/A on error concepts
Discussions on error calculations Solving absolute and relative error problems Demonstrations of error computation Explaining error significance |
Calculators, error calculation sheets
|
KLB Mathematics Book Three Pg 31-32
|
|
| 6 | 3 |
Approximations and Errors
|
Percentage error
|
By the end of the
lesson, the learner
should be able to:
Find the percentage error of a given value Calculate percentage error accurately Interpret percentage error results |
Q/A on percentage concepts
Discussions on percentage error meaning Solving percentage error problems Demonstrations of percentage calculations Explaining error interpretation |
Calculators, percentage error worksheets
|
KLB Mathematics Book Three Pg 32-34
|
|
| 6 | 4 |
Approximations and Errors
|
Rounding off error and truncation error
|
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Calculate truncation error Compare rounding and truncation errors |
Q/A on error types
Discussions on error sources Solving rounding and truncation error problems Demonstrations of error comparison Explaining error analysis |
Calculators, error comparison charts
|
KLB Mathematics Book Three Pg 34
|
|
| 6 | 5 |
Approximations and Errors
|
Rounding off error and truncation error
|
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Calculate truncation error Compare rounding and truncation errors |
Q/A on error types
Discussions on error sources Solving rounding and truncation error problems Demonstrations of error comparison Explaining error analysis |
Calculators, error comparison charts
|
KLB Mathematics Book Three Pg 34
|
|
| 6 | 6 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Calculate combined errors Apply error propagation rules |
Q/A on error propagation concepts
Discussions on addition/subtraction errors Solving error propagation problems Demonstrations of error combination Explaining propagation principles |
Calculators, error propagation guides
|
KLB Mathematics Book Three Pg 35-36
|
|
| 6 | 7 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Calculate combined errors Apply error propagation rules |
Q/A on error propagation concepts
Discussions on addition/subtraction errors Solving error propagation problems Demonstrations of error combination Explaining propagation principles |
Calculators, error propagation guides
|
KLB Mathematics Book Three Pg 35-36
|
|
| 7 | 1 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Apply error propagation to complex problems Verify error calculations |
Q/A on propagation mastery
Discussions on complex error scenarios Solving advanced propagation problems Demonstrations of verification methods Explaining error validation |
Calculators, verification worksheets
|
KLB Mathematics Book Three Pg 35-36
|
|
| 7 | 2 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Apply error propagation to complex problems Verify error calculations |
Q/A on propagation mastery
Discussions on complex error scenarios Solving advanced propagation problems Demonstrations of verification methods Explaining error validation |
Calculators, verification worksheets
|
KLB Mathematics Book Three Pg 35-36
|
|
| 7 | 3 |
Approximations and Errors
|
Propagation of errors in multiplication
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Calculate relative errors in products Apply multiplication error rules |
Q/A on multiplication error concepts
Discussions on product error calculation Solving multiplication error problems Demonstrations of relative error computation Explaining multiplication error principles |
Calculators, multiplication error guides
|
KLB Mathematics Book Three Pg 36-37
|
|
| 7 | 4 |
Approximations and Errors
|
Propagation of errors in multiplication
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Calculate relative errors in products Apply multiplication error rules |
Q/A on multiplication error concepts
Discussions on product error calculation Solving multiplication error problems Demonstrations of relative error computation Explaining multiplication error principles |
Calculators, multiplication error guides
|
KLB Mathematics Book Three Pg 36-37
|
|
| 7 | 5 |
Approximations and Errors
|
Propagation of errors in multiplication
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Solve complex multiplication error problems Compare different error propagation methods |
Q/A on advanced multiplication errors
Discussions on complex error scenarios Solving challenging multiplication problems Demonstrations of method comparison Explaining optimal error calculation |
Calculators, method comparison charts
|
KLB Mathematics Book Three Pg 36-37
|
|
| 7 | 6 |
Approximations and Errors
|
Propagation of errors in multiplication
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Solve complex multiplication error problems Compare different error propagation methods |
Q/A on advanced multiplication errors
Discussions on complex error scenarios Solving challenging multiplication problems Demonstrations of method comparison Explaining optimal error calculation |
Calculators, method comparison charts
|
KLB Mathematics Book Three Pg 36-37
|
|
| 7 | 7 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Calculate errors in quotients Apply division error rules |
Q/A on division error concepts
Discussions on quotient error calculation Solving division error problems Demonstrations of division error methods Explaining division error principles |
Calculators, division error worksheets
|
KLB Mathematics Book Three Pg 37-38
|
|
| 8 | 1 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Solve complex division error problems Verify division error calculations |
Q/A on division error mastery
Discussions on complex division scenarios Solving advanced division error problems Demonstrations of error verification Explaining accuracy in division errors |
Calculators, verification guides
|
KLB Mathematics Book Three Pg 37-38
|
|
| 8 | 2 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Solve complex division error problems Verify division error calculations |
Q/A on division error mastery
Discussions on complex division scenarios Solving advanced division error problems Demonstrations of error verification Explaining accuracy in division errors |
Calculators, verification guides
|
KLB Mathematics Book Three Pg 37-38
|
|
| 8 | 3 |
Approximations and Errors
|
Propagation of errors in division
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division Solve complex division error problems Verify division error calculations |
Q/A on division error mastery
Discussions on complex division scenarios Solving advanced division error problems Demonstrations of error verification Explaining accuracy in division errors |
Calculators, verification guides
|
KLB Mathematics Book Three Pg 37-38
|
|
| 8 | 4 |
Approximations and Errors
|
Word problems
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem Apply error analysis to real-world situations Solve comprehensive error problems |
Q/A on chapter consolidation
Discussions on real-world applications Solving comprehensive word problems Demonstrations of problem-solving strategies Explaining practical error analysis |
Calculators, word problem sets, comprehensive review sheets
|
KLB Mathematics Book Three Pg 39-40
|
|
| 8 | 5 |
Approximations and Errors
|
Word problems
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem Apply error analysis to real-world situations Solve comprehensive error problems |
Q/A on chapter consolidation
Discussions on real-world applications Solving comprehensive word problems Demonstrations of problem-solving strategies Explaining practical error analysis |
Calculators, word problem sets, comprehensive review sheets
|
KLB Mathematics Book Three Pg 39-40
|
|
| 8 | 6 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Draw the unit circle Identify coordinates on the unit circle Understand the unit circle concept |
Q/A on basic circle properties
Discussions on unit circle construction Solving problems using unit circle Demonstrations of circle drawing Explaining unit circle applications |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 41-42
|
|
| 8 | 7 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Draw the unit circle Identify coordinates on the unit circle Understand the unit circle concept |
Q/A on basic circle properties
Discussions on unit circle construction Solving problems using unit circle Demonstrations of circle drawing Explaining unit circle applications |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 41-42
|
|
| 9 | 1 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle Apply unit circle to find trigonometric values Use unit circle for angle measurement |
Q/A on unit circle mastery
Discussions on practical applications Solving trigonometric problems Demonstrations of value finding Explaining angle relationships |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 43-44
|
|
| 9 | 2 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Calculate trigonometric ratios for obtuse angles Apply reference angle concepts |
Q/A on basic trigonometric ratios
Discussions on angle extensions Solving obtuse angle problems Demonstrations of reference angles Explaining quadrant relationships |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 44-45
|
|
| 9 | 3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Calculate trigonometric ratios for obtuse angles Apply reference angle concepts |
Q/A on basic trigonometric ratios
Discussions on angle extensions Solving obtuse angle problems Demonstrations of reference angles Explaining quadrant relationships |
Calculators, protractors, rulers, pair of compasses
|
KLB Mathematics Book Three Pg 44-45
|
|
| 9 | 4 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Solve problems with angles in different quadrants Apply ASTC rule for sign determination |
Q/A on quadrant properties
Discussions on sign conventions Solving multi-quadrant problems Demonstrations of ASTC rule Explaining trigonometric signs |
Calculators, quadrant charts
|
KLB Mathematics Book Three Pg 46-47
|
|
| 9 | 5 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Solve problems with angles in different quadrants Apply ASTC rule for sign determination |
Q/A on quadrant properties
Discussions on sign conventions Solving multi-quadrant problems Demonstrations of ASTC rule Explaining trigonometric signs |
Calculators, quadrant charts
|
KLB Mathematics Book Three Pg 46-47
|
|
| 9 | 6 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of negative angles Apply negative angle identities Solve problems involving negative angles |
Q/A on negative angle concepts
Discussions on angle direction Solving negative angle problems Demonstrations of identity applications Explaining clockwise rotations |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 48-49
|
|
| 9 | 7 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of negative angles Apply negative angle identities Solve problems involving negative angles |
Q/A on negative angle concepts
Discussions on angle direction Solving negative angle problems Demonstrations of identity applications Explaining clockwise rotations |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 48-49
|
|
| 10 | 1 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 360°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 360° Apply coterminal angle concepts Reduce angles to standard position |
Q/A on angle reduction concepts
Discussions on coterminal angles Solving extended angle problems Demonstrations of angle reduction Explaining periodic properties |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 49-51
|
|
| 10 | 2 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 360°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 360° Apply coterminal angle concepts Reduce angles to standard position |
Q/A on angle reduction concepts
Discussions on coterminal angles Solving extended angle problems Demonstrations of angle reduction Explaining periodic properties |
Geoboards, graph books, calculators
|
KLB Mathematics Book Three Pg 49-51
|
|
| 10 | 3 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine Read trigonometric tables accurately Apply table interpolation methods |
Q/A on table reading skills
Discussions on table structure Solving problems using tables Demonstrations of interpolation Explaining table accuracy |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 51-55
|
|
| 10 | 4 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine Read trigonometric tables accurately Apply table interpolation methods |
Q/A on table reading skills
Discussions on table structure Solving problems using tables Demonstrations of interpolation Explaining table accuracy |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 51-55
|
|
| 10 | 5 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Apply tables for all trigonometric functions Compare table and calculator results |
Q/A on tangent table usage
Discussions on function relationships Solving comprehensive table problems Demonstrations of result verification Explaining table limitations |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 55-56
|
|
| 10 | 6 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Apply tables for all trigonometric functions Compare table and calculator results |
Q/A on tangent table usage
Discussions on function relationships Solving comprehensive table problems Demonstrations of result verification Explaining table limitations |
Mathematical tables, calculators
|
KLB Mathematics Book Three Pg 55-56
|
|
| 10 | 7 |
Trigonometry (II)
|
Use of calculators
|
By the end of the
lesson, the learner
should be able to:
Use calculators to find sine, cosine and tan Apply calculator functions for trigonometry Verify calculator accuracy |
Q/A on calculator trigonometric functions
Discussions on calculator modes Solving problems using calculators Demonstrations of function keys Explaining degree vs radian modes |
Calculators, function guides
|
KLB Mathematics Book Three Pg 56-58
|
|
| 11 | 1 |
Trigonometry (II)
|
Radian measure
|
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Apply radian measure in calculations Understand radian-degree relationships |
Q/A on angle measurement systems
Discussions on radian concepts Solving conversion problems Demonstrations of conversion methods Explaining radian applications |
Calculators, conversion charts
|
KLB Mathematics Book Three Pg 58-61
|
|
| 11 | 2 |
Trigonometry (II)
|
Radian measure
|
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Apply radian measure in calculations Understand radian-degree relationships |
Q/A on angle measurement systems
Discussions on radian concepts Solving conversion problems Demonstrations of conversion methods Explaining radian applications |
Calculators, conversion charts
|
KLB Mathematics Book Three Pg 58-61
|
|
| 11 | 3 |
Trigonometry (II)
|
Radian measure
|
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Apply radian measure in calculations Understand radian-degree relationships |
Q/A on angle measurement systems
Discussions on radian concepts Solving conversion problems Demonstrations of conversion methods Explaining radian applications |
Calculators, conversion charts
|
KLB Mathematics Book Three Pg 58-61
|
|
| 11 | 4 |
Trigonometry (II)
|
Simple trigonometric graphs
|
By the end of the
lesson, the learner
should be able to:
Draw tables for sine of values Plot graphs of sine functions Identify sine graph properties |
Q/A on coordinate graphing
Discussions on periodic functions Solving graphing problems Demonstrations of sine plotting Explaining graph characteristics |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 62-63
|
|
| 11 | 5 |
Trigonometry (II)
|
Simple trigonometric graphs
|
By the end of the
lesson, the learner
should be able to:
Draw tables for sine of values Plot graphs of sine functions Identify sine graph properties |
Q/A on coordinate graphing
Discussions on periodic functions Solving graphing problems Demonstrations of sine plotting Explaining graph characteristics |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 62-63
|
|
| 11 | 6 |
Trigonometry (II)
|
Graphs of cosines
|
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Plot graphs of cosine functions Compare sine and cosine graphs |
Q/A on cosine properties
Discussions on graph relationships Solving cosine graphing problems Demonstrations of cosine plotting Explaining phase relationships |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 63-64
|
|
| 11 | 7 |
Trigonometry (II)
|
Graphs of tan
|
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Plot graphs of tan functions Identify asymptotes and discontinuities |
Q/A on tangent behavior
Discussions on function domains Solving tangent graphing problems Demonstrations of asymptote identification Explaining discontinuous functions |
Calculators, graph papers, plotting guides
|
KLB Mathematics Book Three Pg 64-65
|
|
| 12 | 1 |
Trigonometry (II)
|
The sine rule
|
By the end of the
lesson, the learner
should be able to:
State the sine rule Apply sine rule to find solution of triangles Solve triangles using sine rule |
Q/A on triangle properties
Discussions on sine rule applications Solving triangle problems Demonstrations of rule application Explaining ambiguous case |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 65-70
|
|
| 12 | 2 |
Trigonometry (II)
|
The sine rule
|
By the end of the
lesson, the learner
should be able to:
State the sine rule Apply sine rule to find solution of triangles Solve triangles using sine rule |
Q/A on triangle properties
Discussions on sine rule applications Solving triangle problems Demonstrations of rule application Explaining ambiguous case |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 65-70
|
|
| 12 | 3 |
Trigonometry (II)
|
The sine rule
|
By the end of the
lesson, the learner
should be able to:
State the sine rule Apply sine rule to find solution of triangles Solve triangles using sine rule |
Q/A on triangle properties
Discussions on sine rule applications Solving triangle problems Demonstrations of rule application Explaining ambiguous case |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 65-70
|
|
| 12 | 4 |
Trigonometry (II)
|
Cosine rule
|
By the end of the
lesson, the learner
should be able to:
State the cosine rule Apply cosine rule to find solution of triangles Choose appropriate rule for triangle solving |
Q/A on cosine rule concepts
Discussions on rule selection Solving complex triangle problems Demonstrations of cosine rule Explaining when to use each rule |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 71-75
|
|
| 12 | 5 |
Trigonometry (II)
|
Cosine rule
|
By the end of the
lesson, the learner
should be able to:
State the cosine rule Apply cosine rule to find solution of triangles Choose appropriate rule for triangle solving |
Q/A on cosine rule concepts
Discussions on rule selection Solving complex triangle problems Demonstrations of cosine rule Explaining when to use each rule |
Calculators, triangle worksheets
|
KLB Mathematics Book Three Pg 71-75
|
|
| 12 | 6 |
Trigonometry (II)
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan Apply trigonometry to real-world situations Integrate all trigonometric concepts |
Q/A on chapter consolidation
Discussions on practical applications Solving comprehensive problems Demonstrations of problem-solving strategies Explaining real-world trigonometry |
Calculators, comprehensive problem sets, real-world examples
|
KLB Mathematics Book Three Pg 76-77
|
|
| 12 | 7 |
Trigonometry (II)
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan Apply trigonometry to real-world situations Integrate all trigonometric concepts |
Q/A on chapter consolidation
Discussions on practical applications Solving comprehensive problems Demonstrations of problem-solving strategies Explaining real-world trigonometry |
Calculators, comprehensive problem sets, real-world examples
|
KLB Mathematics Book Three Pg 76-77
|
|
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